in given figure RT =1 cm and OQ = 3 cm
Answers
Given : RT = 1 cm , OQ = 3 cm
To Find : Area of the shaded region
Solution:
Pythagoras' theorem:
"Square on the hypotenuse of a right-angled triangle is equal to the
sum of the squares of the other two perpendicular sides."
OS² = OR² + RS²
RS = OQ = 3 cm
OR = a cm
OT = OR + RT = a + 1 cm
OS = OT = radius = a + 1 cm
=> (a + 1)² = a² + 3²
=> a² + 2a + 1 = a² + 9
=> 2a = 8
=> a = 4
OR = 4 cm
=> OT =a +1 = 4 + 1 = 5 cm
Radius = 5 cm
Area of Quarter circle = (1/4)πr²
= (1/4)(3.14)5²
= 19.625 cm²
Area of rectangle = 3 x 4 = 12 cm²
Area of the shaded region is 19.625 - 12 = 7.625 cm²
Area of the shaded region is 7.625 cm²
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Answer:
Step-by-step explanation:
